Fundamental Theorem of Algebra and Factoring

#15-#19

100

f(x)=-x^2+6x-9

(x-3)^2 or (x-3) (x-3)

200

g(x)x^6-5x^4+4x^2

(x+/-2) (x-1) (x+0)^2

300

Images on the slide show for the graph for #15 and #16 what is similar about both of these graphs on the point (3,0) and (0,0).

There is a bounce present in both of these graphs

400

f(x)=x^2+20x=51

x=(-3,0) (-17,0)

500

f(x)=x^2+10x+25

x=(-5,0)^2 or (-5,0) (-5,0)

#20-#23

100

f(x)=3x^2+12x

x=(0,0) (-4,0)

200

f(x)=x^2-11

x=(-3.3,0) (3.3,0)

300

f(x)=x^2+x-1

x=(-1.6,0) (0.75,0)

400

f(x)=x^2+2x+3

x=-1+i square root of 2, -1-i square root of 2